Ex 2. i) Determine whether the Mean Value Theorem applies to the function f(x) = 7-x² on the interval [-1,2]. Then apply the MVT to find all the numbers c in the open interval (-1,2) such that f'(c) = (2)-(-1) 2-(-1) ii) Find the equation of the secant line passing through the end points of f(x) on the interval [-1,2].
Ex 2. i) Determine whether the Mean Value Theorem applies to the function f(x) = 7-x² on the interval [-1,2]. Then apply the MVT to find all the numbers c in the open interval (-1,2) such that f'(c) = (2)-(-1) 2-(-1) ii) Find the equation of the secant line passing through the end points of f(x) on the interval [-1,2].
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Calculus I
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![Ex 2.
i) Determine whether the Mean Value Theorem applies to the function f(x) = 7-x² on the interval [-1,2]. Then
apply the MVT to find all the numbers c in the open interval (-1,2) such that f'(c) =
(2)-(-1)
2-(-1)
ii) Find the equation of the secant line passing through the end points of f(x) on the interval [-1,2].
iii) Find the equation of the tangent line passing through the point from part i.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F717b76b4-160b-4d09-bf30-5738b03be980%2F32a42465-3f91-429e-b632-6b6d50279f9b%2F7rxlwnt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ex 2.
i) Determine whether the Mean Value Theorem applies to the function f(x) = 7-x² on the interval [-1,2]. Then
apply the MVT to find all the numbers c in the open interval (-1,2) such that f'(c) =
(2)-(-1)
2-(-1)
ii) Find the equation of the secant line passing through the end points of f(x) on the interval [-1,2].
iii) Find the equation of the tangent line passing through the point from part i.
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